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Finding the Fourth Proportional to 10,298.87, 14,212.46 and 5,583.17

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Solution

The fourth proportional to 10,298.87, 14,212.46 and 5,583.17 is: 7,704.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,298.87 : 14,212.46 = 5,583.17 : x
  2. Step 2: Convert to fraction form
    10,298.87/14,212.46 = 5,583.17/x
  3. Step 3: Cross multiply
    10,298.87x = 14,212.46 × 5,583.17
  4. Step 4: Simplify right side
    10,298.87x = 79,350,523.19
  5. Step 5: Solve for x
    x = 79,350,523.19/10,298.87
  6. Step 6: Final answer
    x = 7,704.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.